document.write( "Question 1133341: How much of an alloy that is 20% copper should be mixed with 600 ounces of an alloy that is 60% copper in order to get an alloy that is 30% copper? \n" ); document.write( "

Algebra.Com's Answer #750528 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Let  \"x\" be the amount of the 20% copper alloy, in ounces (the value under the question.\r\n" );
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document.write( "Then the balance equation for the copper content is\r\n" );
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document.write( "    0.2x + 0.6*600 = 0.3*(x+600)\r\n" );
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document.write( "saying that the copper content in the final alloy is the sum of the copper content in each of the two ingredients.\r\n" );
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document.write( "Simplify and solve for x\r\n" );
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document.write( "    x =  = 1800.\r\n" );
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document.write( "Answer.  1800 ounces of the 20% copper alloy.\r\n" );
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document.write( "CHECK.   1800*0.2 + 600*0.6 = 720 ounces of the copper, exactly as \r\n" );
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document.write( "         0.3*(600+1800) = 720 ounces of the copper.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical mixture word problem.\r
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\n" ); document.write( "\n" ); document.write( "See introductory lessons \r
\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for antifreeze solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for alloys (*)\r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution the mixture word problems.\r
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\n" ); document.write( "\n" ); document.write( "Regarding alloys, you have the lesson marked (*) in the list.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Mixture problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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